Search a number
-
+
112212660 = 2235753712
BaseRepresentation
bin1101011000000…
…11101010110100
321211010222211110
412230003222310
5212211301120
615045035020
72531535420
oct654035264
9254128743
10112212660
115838303a
12316b5a70
131a32b531
1410c8db80
159cb82e0
hex6b03ab4

112212660 has 144 divisors (see below), whose sum is σ = 371081088. Its totient is φ = 24810240.

The previous prime is 112212647. The next prime is 112212697. The reversal of 112212660 is 66212211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1580425 + ... + 1580495.

It is an arithmetic number, because the mean of its divisors is an integer number (2576952).

Almost surely, 2112212660 is an apocalyptic number.

112212660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112212660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185540544).

112212660 is an abundant number, since it is smaller than the sum of its proper divisors (258868428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112212660 is a wasteful number, since it uses less digits than its factorization.

112212660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 112212660 is about 10593.0477200851. The cubic root of 112212660 is about 482.3333437874. Note that the first 4 decimals are identical.

Adding to 112212660 its reverse (66212211), we get a palindrome (178424871).

The spelling of 112212660 in words is "one hundred twelve million, two hundred twelve thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 53 60 70 71 84 105 106 140 142 159 210 212 213 265 284 318 355 371 420 426 497 530 636 710 742 795 852 994 1060 1065 1113 1420 1484 1491 1590 1855 1988 2130 2226 2485 2982 3180 3710 3763 4260 4452 4970 5041 5565 5964 7420 7455 7526 9940 10082 11130 11289 14910 15052 15123 18815 20164 22260 22578 25205 26341 29820 30246 35287 37630 45156 50410 52682 56445 60492 70574 75260 75615 79023 100820 105364 105861 112890 131705 141148 151230 158046 176435 211722 225780 263410 267173 302460 316092 352870 395115 423444 526820 529305 534346 705740 790230 801519 1058610 1068692 1335865 1580460 1603038 1870211 2117220 2671730 3206076 3740422 4007595 5343460 5610633 7480844 8015190 9351055 11221266 16030380 18702110 22442532 28053165 37404220 56106330 112212660